-I coldnt find anything in my notes An electromagnetic wave propagating in the z

Question

-I coldnt find anything in my notes

An electromagnetic wave propagating in the z -direction at 2.998 times I08 m / s has a frequency of f = 100 times 106 Hz. The wave's magnetic field B right arrow (z, t) = (1.0 times 10-8 T)cos(kz -omega t) i where the angular frequency omega = 2.pi.f and the wave number k = 2 pi / lambda. Evaluate the wavelength lambda. Evaluate omega and k. Write the equation that relates the magnetic field B, the electric field E and the speed c for an electromagnetic plane wave. Using the relation from (c) and the amplitude of the magnetic field B = (1.0 times 10-8 T), determine the amplitude of the electric field. Using the values found in (a) and (d), write the expression for the electric field E right arrow (z, t) for this wave.

Explanation / Answer

a) lambda f = v

so lambda = 2.998E8/100.0E6=2.998 m

b) w = 2 pi f = 2*pi*100.0E6=6.28E8
k = 2 pi/lambda = 2*pi/2.998=2.096

c) B = E/c

d) E = 1.0E-8*2.998E8 = 2.998

e) E = 2.998*cos(2.096 z - 6.28E8 t) jhat

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.